7.2.a

Number Systems 7th Grade

Texas Essential Knowledge and Skills (TEKS): 7.2.a
extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.

A rational number can be written as a fraction

\frac{p}{q}

,
where

p

and

q

are integers and

q

does not equal zero.

Integers, fractions, and repeating or terminating decimals are rational numbers.

Whole numbers are rational numbers greater than or
equal to zero that do not have a fraction or decimal {0, 1, 2, 3, ...}.

Integers are whole numbers and their opposites {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Natural numbers are rational numbers greater than
zero that do not have a fraction or decimal.

Natural numbers are a subset of whole numbers.
All natural numbers are whole numbers.
Some, but not all, whole numbers are natural numbers.

Whole numbers are a subset of integers.
All whole numbers are integers.
Some, but not all, integers are whole numbers.

Integers are a subset of rational numbers.
All integers are rational numbers.
Some, but not all, rational numbers are integers.

Number Systems